Finding the Fourth Proportional to 114.30, 171.17 and 78.12
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Solution
The fourth proportional to 114.30, 171.17 and 78.12 is: 116.99
Step by Step Solution
- Step 1: Write the proportion equation
114.30 : 171.17 = 78.12 : x - Step 2: Convert to fraction form
114.30/171.17 = 78.12/x - Step 3: Cross multiply
114.30x = 171.17 × 78.12 - Step 4: Simplify right side
114.30x = 13,371.41 - Step 5: Solve for x
x = 13,371.41/114.30 - Step 6: Final answer
x = 116.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.